Where r is the radius of the cone's base and h is the height of the cone. Find the approximate volume of a cone when r is 8 cm and h is 8 cm.
Volume of a Cone = pir2h/3

Step-by-step explanation:

VW to WY have the ratio 3/2.

VX to XZ must have the same ratio.

and VX > VW.

so,

30 and 20 is possible, as 30/20 = 3/2.

3 and 2 is not possible, because 6 > 3.

27 and 18 is possible, as 27/18 = 3/2.

13.2 and 8.8 is possible, 13.2/8.8 = 3/2.

8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.

8.7/3 = 2.9

but 2.9×2 = 5.8 and not 5.7.

The final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)

If the resulting coordinate is centered at (12, -1), we will simply subtract the center from the resulting coordinate to get the final position of the rhombus. The final coordinates will be as shown:

F'' = (12-12, -2+1) = (0, -1)

G'' = (22-12, -6+1) = (10, -5)

H'' = (26-12, -16+1) = (14, -15)

I" = (16-12, -12+1) = (4, -11)

Therefore final coordinate of the vertices after the transformation is F"(0, -1), G"(10, 5), H"(14, 15) and I"(4, -11)

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Answer:

$180,000 is 10% $9,000 is 5%

Step-by-step explanation:

To solve for this, you would set up a ratio and cross-multiply.

$18,000/$180,000 = x%/100%

(18,000)(100) = 180,000x

1,800,000 = 180,000x

10 = x

9,000/180,000 = x/100

900,000 = 180,000x

5 = x

OR

$18,000 ÷ 2 = $9,000

10% ÷ 2 = 5%

Answer:

x=7

Step-by-step explanation:

Hope this helps!

Answer:

Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Step-by-step explanation:

No. of hardcover book = x

No. of paperback book = y

Cost of one hardcover book = $8

Cost of one paperback book = $5 We are given that:

x+y=7 (Equation 1)

8x+5y=41 (Equation 2)

We can find out value of x and y by solving both equations simultaneously.

Hence, Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Step-by-step explanation:

Answer:

C. 2/12

Step-by-step explanation:

multiplication  and when two negatives are multiplied together they always equal a positive i hope this helps have a great day :)

Answers:

===============================================

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

Answer:

A

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(4x + 11) is an exterior angle of the triangle , then

4x + 11 = 3x - 24 + 2x

4x + 11 = 5x - 24 ( subtract 5x from both sides )

- x + 11 = - 24 ( subtract 11 from both sides )

- x = - 35 ( multiply both sides by - 1 )

x = 35 → A

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

[tex]n + n + n + n + n + n + n + n + n = 80[/tex]

or

[tex]9n = 80[/tex]

Solve for n

[tex]n = \frac{80}{9} [/tex]

This rounded would make our interger side, 9

Answer: $12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

12 + 0.60 = 12.60

Hope you have a great day

Answer:

$12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

and 12 + 0.60 = 12.60

Hope it makes sense

The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex].

In this question we need to find the root of the radical function [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex], which must be simplified by algebraic means.

First, we need to elevate each side of the expression by third power:

[tex]\left(\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n+\sqrt{n^{2}+8}} \right)^{3} = 512[/tex]

[tex]2\cdot n + 3\cdot \sqrt[3]{(n+\sqrt{n^{2}+8})^{2}\cdot (n-\sqrt{n^{2}+8})} + 3\cdot \sqrt[3]{(n-\sqrt{n^{2}+8})^{2}\cdot (n+\sqrt{n^{2}+8})} = 512[/tex]

[tex]2\cdot n -6\cdot (\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n-\sqrt{n^{2}+8}}) = 512[/tex]

[tex]2\cdot n - 6\cdot (8) = 512[/tex]

[tex]n = 280[/tex]

The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex]. [tex]\blacksquare[/tex]

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Answer:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

x = 9-5^(3/2)*i or x = 5^(3/2)*i+9

ok done. Thank to me :>

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

Answer:

the equation is linear, the equation is y=9.8x

Step-by-step explanation:

Answer:

that is the true answer trust

Step-by-step explanation:

like my answer and make it brainlieast

Answer:

B.  x = 33

Step-by-step explanation:

Answer:

EF, DE, DF

Step-by-step explanation:

Answer:

EF DE DF

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; https://brainly.com/question/4344214

Answer:

R= -0.95

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

Step-by-step explanation:

The area of the square is 3 units by 3 units. because the area of a square is side length squared.

side length = 3

side length^2 = 3 * 3 = 9

The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.

Answer:

The area of the square is 9 aka [tex]3^{2}[/tex]

You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9

It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.

Answer:

number of pins to perfect score

120/300=40/100

percent means parts out of 100

40/100=40%

answer is 40% or 0.40

NOTE: To find the percentage we will multiply decimal value of  number of know down pins to a perfect score by 100

Number of know down pins to a perfect score= 0.4 x 100

Number of know down pins to a perfect score=40%

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Answer:

There are a few key features of a graph; though I'm not exactly sure which ones are the '4 key features'

Step-by-step explanation:

There are a few key features of a graph.

- (x and y) intercepts

- Domain

- Range

- Increasing/Decreasing

- Vertex

-Max/min

- is the graph a function?

I'm not exactly sure what the 4 main key features of a graph is; since there are many features of a graph.

But I'm guessing its the

-x and y intercept

-Max/min

-Domain

-Range

The x intercept is (-15,0)

y intercept is (0,-5)

I was never properly taught how to find the domain and range of a graph, and I can't really find much about the domain and range of graphs that have no clear end to either side (continuous line) so I'm sorry, I can't really help you on that.

Answer:

Linear graph

Slope is 1/3

The y intercept is -5

The x intercept is -15

Step-by-step explanation:

The graph is a straight line graph

Slope = ∆y/∆x

= (-5 - 0)/-15-0

= -5/-15

= 1/3

Y-intercept is the value on the y-axis when x is 0

X-intercept is the value on the x-axis when y is 0

Answer:

B

Step-by-step explanation: